First of all, they have different meanings:
1, the meaning of high numbers: Generally speaking, advanced mathematics is a basic subject formed by calculus, algebra, geometry and their intersection.
2. The meaning of super number: super number refers to a real number that does not satisfy any polynomial equation with integral coefficients (rational coefficients), that is, a number that is not an algebraic number.
Second, the classification of the two is different:
1. Classification of high numbers: The main contents of high numbers include series, limit, calculus, spatial analytic geometry and linear algebra, series and ordinary differential equations.
2, the classification of super number:
Infinite series form of (1)π and e;
π=4*( 1/ 1- 1/3+ 1/5- 1/7+ 1/9- 1/ 1 1+……)=4*∑((- 1)^n/( 1+2n)),n∈n；
e= 1/(0！ )+ 1/( 1! )+ 1/(2! )+ 1/(3! )+ 1/(4! )+ 1/(5! )+…….=∑ 1/(n！ )，n∈N .
(2) The arc tangent function form of π:
π= 16 arctan 1/5-4 arctan 1/239；
π= 24 arctangent 1/8+8 arctangent 1/57+4 arctangent 1/239.
Third, the two have different meanings:
1, the significance of high number: high number is the basic subject of postgraduate examinations in engineering, science and engineering and finance; The strict logicality of high numbers means that in the induction and arrangement of mathematical theories, whether concepts and expressions, or judgments and reasoning, we must use the rules of logic and follow the laws of thinking. Therefore, mathematics is also a way of thinking, and the process of learning mathematics is the process of thinking training.
The progress of human society is inseparable from the wide application of mathematics. Especially in modern times, the appearance and popularization of electronic computers have broadened the application field of mathematics. Modern mathematics is becoming a powerful driving force for the development of science and technology, and it has also penetrated into the field of social sciences extensively and deeply.
2. The significance of super numbers: The proof of super numbers has brought great changes to mathematics. It is proved that the three difficult problems in mathematics for thousands of years, that is, the problem of folding a cube in half, the problem of bisecting any angle and the problem of changing a circle into a square, are all problems that a ruler cannot prove.
Baidu encyclopedia-advanced mathematics
Baidu Encyclopedia-Beyond Numbers